Limit cycles of discontinuous piecewise differential systems formed by linear centers in R2 and separated by two circles
We show that discontinuous planar piecewise differential systems formed by linear centers and separated by two concentric circles can have at most three limit cycles. Usually is a difficult problem to provide the exact upper bound that a class of differential systems can exhibit. Here we also provid...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:236659 |
| Acesso em linha: | https://ddd.uab.cat/record/236659 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2020.103281 |
| Access Level: | acceso abierto |
| Palavra-chave: | Limit cycles Linear centers Continuous piecewise linear differential systems Discontinuous piecewise differential systems First integrals |
| Resumo: | We show that discontinuous planar piecewise differential systems formed by linear centers and separated by two concentric circles can have at most three limit cycles. Usually is a difficult problem to provide the exact upper bound that a class of differential systems can exhibit. Here we also provide examples of such systems with zero, one, two, or three limit cycles. |
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